Name: Writing commutators of commutators as products of cubes
Creator: Ramsay, Colin
Keywords: FOS: Mathematics, Group Theory (math.GR), 0101 mathematics, 20F12, 20-04, Mathematics - Group Theory, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 30 Aug 2021Embargo end date: 01 Jan 2015 English Publisher:Informa UK LimitedJournal:Communications in Algebra, volume 50, pages 809-811 (issn: 0092-7872, eissn: 1532-4125,

Authors: Ramsay, Colin;

doi: 10.1080/00927872.2021.1970759 , 10.48550/arxiv.1507.08005

arXiv: 1507.08005

Writing commutators of commutators as products of cubes

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Abstract

It is known that commutators of commutators can be written as products of cubes, with the current upper bound on the number of cubes being 60. We discuss how proofs extracted via coset enumeration can be used to investigate this problem, and exhibit a rewriting using only 14 cubes.

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University of Queensland
Australia
University of Queensland
Australia

Keywords

FOS: Mathematics, Group Theory (math.GR), 20F12, 20-04, Mathematics - Group Theory

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